Please answer as much as possible Slope of the TangentThe rate of change at any point on a function is the slope of the tangentline through the point. Find the slope of the tangent line.To do this, find the derivative of the function. Next, evaluate thederivative at the specified value of x. The result is the slope of the tangentline.Find the rate of change of the function at a given value.1. f(x) = 2x – 3, at x = 52. f(x) = 2x2, at x = 43. f(x) = -3x?, at x = -34. f(x) = 3 - x², at x = -35. f(x) = 4x? + x , at x = 36. f(x) = 2x? + 3x + 1, at x = 27. f(x) = 5x? - 2x – 4, at x = -1

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Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² , at x = 4 3. f(x) = -3x², at x = -3 4. f(x) = 3 – x², at x = -3 5. f(x) = 4x² + x , at x = 3 6. f(x) = 2x² + 3x + 1, at x = 2 7. f(x) = 5x² – 2x – 4 , at x = -1

Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² , at x = 4 3. f(x) = -3x², at x = -3 4. f(x) = 3 – x², at x = -3 5. f(x) = 4x² + x , at x = 3 6. f(x) = 2x² + 3x + 1, at x = 2 7. f(x) = 5x² – 2x – 4 , at x = -1

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Please answer as much as possible

Slope of the Tangent
The rate of change at any point on a function is the slope of the tangent
line through the point. Find the slope of the tangent line.
To do this, find the derivative of the function. Next, evaluate the
derivative at the specified value of x. The result is the slope of the tangent
line.
Find the rate of change of the function at a given value.
1. f(x) = 2x – 3, at x = 5
2. f(x) = 2x2, at x = 4
3. f(x) = -3x?, at x = -3
4. f(x) = 3 - x², at x = -3
5. f(x) = 4x? + x , at x = 3
6. f(x) = 2x? + 3x + 1, at x = 2
7. f(x) = 5x? - 2x – 4, at x = -1

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